A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do

the wheels make in one minute?

rev/min

w=15.7 rpm

Step-by-step explanation:

Lets remember the link between angular movement and linear movement.

w*R=S

Where S=Speed (Linear movement), w = Angular movement, R is the radio of the rotating object.

To make sense of what we are going to do, lets start by using the same system units, Ill go for inches.

S = 45 miles/h = 45*6330 in/h=284850 in/h.

Now lets use minutes instead of h for S.

S=284850 in/h = 284850 in/60 min=4747.5 in/min

It the diameter of the wheels is 48 in, then, the angular speed is:

4747.5 in/min = w * 48 IN.

Hence. w=98.9 rad/min.

To obtain the same value in rpm (revolutions per minutes) lets divide the above by 2pi

w=15.7 rpm